English

Fermions in non-relativistic AdS/CFT correspondence

High Energy Physics - Theory 2014-11-18 v2

Abstract

We extend the non-relativistic AdS/CFT correspondence to the fermionic fields. In particular we study the two point function of a fermionic operator in non-relativistic CFTs by making use of a massive fermion propagating in geometries with Schrodinger group isometry. Although the boundary of the geometries with Schrodinger group isometry differ from that in AdS geometries where the dictionary of AdS/CFT is established, using the general procedure of AdS/CFT correspondence, we see that the resultant two point function has the expected form for fermionic operators in non-relativistic CFTs, though a non-trivial regularization may be needed.

Keywords

Cite

@article{arxiv.0902.0276,
  title  = {Fermions in non-relativistic AdS/CFT correspondence},
  author = {Amin Akhavan and Mohsen Alishahiha and Ali Davody and Ali Vahedi},
  journal= {arXiv preprint arXiv:0902.0276},
  year   = {2014}
}

Comments

12 pages,Latex file; V2: typos corrected, refs added

R2 v1 2026-06-21T12:07:03.846Z